Results 11 to 20 of about 1,815 (116)
Effects of Brownian noise strength on new chiral solitary structures
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi +2 more
doaj +2 more sources
Normalized Solutions with Positive Energies for a Coercive Problem and Application to the Cubic-Quintic Nonlinear Schrodinger Equation [PDF]
Mathematical Models and Methods in Applied Sciences, 2021 . In any dimension N ≥ 1, for given mass m > 0 and when the C 1 energy functional is coercive on the mass constraint we are interested in searching for constrained critical points at positive energy levels.
L. Jeanjean, Sheng-Sen Lu
semanticscholar +1 more source
Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2022 In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear Schr¨odinger (IBNLS) equation where d ∈ N , s ≥ 0, 0 < b < 4, σ > 0 and λ ∈ R .
J. An, PyongJo Ryu, Jinmyong Kim
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Bifurcation into spectral gaps for strongly indefinite Choquard equations [PDF]
Communications in Contemporary Mathematics, 2022 : We consider the semilinear elliptic equations where I α is a Riesz potential, p ∈ ( N + αN , N + α N − 2 ), N ≥ 3, and V is continuous periodic. We assume that 0 lies in the spectral gap ( a, b ) of − ∆ + V .
Huxiao Luo, B. Ruf, C. Tarsi
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Global Solutions of Modified One-Dimensional Schrödinger Equation
Communications in Mathematical Research, 2021 In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1.
Ting Zhang
semanticscholar +1 more source
Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
, 2021 We use spectral analysis to reduce Cauchy problem for the coupled SasaSatsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower triangular factorisations of the jump matrix and a decomposition of the vector-valued spectral function ...
X. Geng
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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate [PDF]
, 2004 Consider a system of N bosons in three dimensions interacting via a repulsive short range pair potential N 2 V (N(xi − xj)), where x = (x1, . . ., xN) denotes the positions of the particles. Let HN denote the Hamiltonian of the system and let ψN,t be the
L. Erdős, B. Schlein, H. Yau
semanticscholar +1 more source
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley +1 more source
Intertwining semiclassical solutions to a Schrödinger-Newton system [PDF]
, 2011 We study the problem ( (−"i∇ + A(x)) 2 u + V (x)u = " 2 1 |x| ∗ |u| 2 u, u ∈ L 2 (R 3 ,C), "∇u + iAu ∈ L 2 (R 3 ,C 3 ), where A: R3 → R3 is an exterior magnetic potential, V : R3 → R is an exte- rior electric potential, and " is a small positive ...
S. Cingolani, M. Clapp, S. Secchi
semanticscholar +1 more source
Optical vortices in dispersive nonlinear Kerr‐type media
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 18, Page 949-967, 2004., 2004 The applied method of slowly varying amplitudes gives us the possibility to reduce the nonlinear vector integrodifferential wave equation of the electrical and magnetic vector fields to the amplitude vector nonlinear differential equations. Using this approximation, different orders of dispersion of the linear and nonlinear susceptibility can be ...
Lubomir M. Kovachev
wiley +1 more source